Title
Adaptive robust control of fractional-order systems with matched and mismatched disturbances.
Abstract
This paper proposes an adaptive control method for the robust stabilization of a general class of fractional-order systems, which are subject to matched and mismatched disturbances. The control design is based on a nominal linear-time-invariant system, and the deviation from such a model is considered as the disturbance, which is decoupled as the sum of a matched and a mismatched disturbance. The controller is proposed as the combination of an adaptive robust controller that compensates for the matched disturbance, and a nominal controller that is based on a linear matrix inequality, in order to enforce the Mittag-Leffler stability of the pseudo-state, even in the presence of the mismatched disturbance. Numerical simulations are conducted to show the reliability of the proposed scheme.
Year
DOI
Venue
2019
10.1016/j.matcom.2019.01.008
Mathematics and Computers in Simulation
Keywords
Field
DocType
Adaptive control,Fractional-order systems,Mittag-Leffler stability,Disturbance rejection,Identification
Mathematical optimization,Control theory,Control theory,Adaptive control,Robust control,Mathematics,Linear matrix inequality
Journal
Volume
ISSN
Citations 
162
0378-4754
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
A.-J. Munoz-Vazquez1429.97
M. B. Ortiz-Moctezuma201.01
Anand Sanchez-Orta3477.64
Vicente Parra-Vega418033.57